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Finding the Third Proportional to 48,546 and 104,202

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Solution

The third proportional to 48,546 and 104,202 is: 223,665.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,546 : 104,202 = 104,202 : x
  2. Step 2: Convert to fraction form
    48,546/104,202 = 104,202/x
  3. Step 3: Cross multiply
    48,546x = 104,202 × 104,202
  4. Step 4: Simplify right side
    48,546x = 10,858,056,804
  5. Step 5: Solve for x
    x = 10,858,056,804/48,546
  6. Step 6: Final answer
    x = 223,665.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.